2672127221760 has 784 divisors, whose sum is σ = 9714698939880. Its totient is φ = 705169981440.

The previous prime is 2672127221741. The next prime is 2672127221767. The reversal of 2672127221760 is 671227212762.

2672127221760 is a `hidden beast` number, since 267 + 212 + 7 + 2 + 2 + 176 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2101896843264 + 570230378496 = 1449792^2 + 755136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2672127221767) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3254722150 + ... + 3254722970.

Almost surely, 2^{2672127221760} is an apocalyptic number.

2672127221760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672127221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857349469940).

2672127221760 is an abundant number, since it is smaller than the sum of its proper divisors (7042571718120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2672127221760 is an frugal number, since it uses more digits than its factorization.

2672127221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 2672127221760 in words is "two trillion, six hundred seventy-two billion, one hundred twenty-seven million, two hundred twenty-one thousand, seven hundred sixty".